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Finding the Fourth Proportional to 1,418.40, 1,953.36 and 1,024.80

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Solution

The fourth proportional to 1,418.40, 1,953.36 and 1,024.80 is: 1,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.40 : 1,953.36 = 1,024.80 : x
  2. Step 2: Convert to fraction form
    1,418.40/1,953.36 = 1,024.80/x
  3. Step 3: Cross multiply
    1,418.40x = 1,953.36 × 1,024.80
  4. Step 4: Simplify right side
    1,418.40x = 2,001,803.33
  5. Step 5: Solve for x
    x = 2,001,803.33/1,418.40
  6. Step 6: Final answer
    x = 1,411.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.